The generalized hypergeometric function is defined as \(_pF_q({\bf a}; {\bf b}; {\cal X})\) , where
\({\bf a}=[a_1,\ldots ,a_p]\mathsf {^T}\) , \({\bf b}=[b_1,\ldots ,b_q]\mathsf {^T}\) , and \({\cal X}\)  is a set of arguments that can
be either scalars or square matrices [1]}. In the case of a single scalar argument,
\({\cal X}=\lbrace x\rbrace \) , the generalized hypergeometric function is defined as in [2]}:
\({_pF_q}({\bf a}; {\bf b}; x) = \sum _{k=0}^{\infty }\frac{[{\bf a}]_{k}}{[{\bf b}]_{k}} \frac{x^k}{k!}\) 
